Class information for:
Level 1: SHANNON MCMILLAN THEOREM//STRONG DEVIATION THEOREM//BIFURCATING AUTOREGRESSIVE PROCESS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
31996 145 14.1 41%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
355 3       PERMANENCE//GLOBAL STABILITY//HOPF BIFURCATION 34946
2260 2             ACTIVE PARTICLES//BRANCHING PROCESS//TUMOR GROWTH 4674
31996 1                   SHANNON MCMILLAN THEOREM//STRONG DEVIATION THEOREM//BIFURCATING AUTOREGRESSIVE PROCESS 145

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 SHANNON MCMILLAN THEOREM authKW 1960103 8% 85% 11
2 STRONG DEVIATION THEOREM authKW 1705776 6% 90% 9
3 BIFURCATING AUTOREGRESSIVE PROCESS authKW 1474129 5% 100% 7
4 STRONG LIMIT THEOREM authKW 1421477 6% 75% 9
5 BIFURCATING AUTOREGRESSIVE MODEL authKW 1052950 3% 100% 5
6 BIFURCATING MARKOV CHAINS authKW 1052950 3% 100% 5
7 SMALL DEVIATION THEOREM authKW 877456 3% 83% 5
8 M ROOTED CAYLEY TREE authKW 842360 3% 100% 4
9 RELATIVE ENTROPY DENSITY authKW 842360 3% 100% 4
10 BIFURCATING AUTOREGRESSION authKW 631770 2% 100% 3

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Statistics & Probability 10394 65% 0% 94
2 Mathematics 393 23% 0% 34
3 Mathematics, Applied 337 20% 0% 29
4 Engineering, Industrial 73 4% 0% 6
5 Operations Research & Management Science 38 4% 0% 6
6 Mathematics, Interdisciplinary Applications 38 4% 0% 6
7 Computer Science, Information Systems 27 4% 0% 6
8 Mathematical & Computational Biology 26 3% 0% 4
9 Biology 8 3% 0% 4
10 Computer Science, Cybernetics 6 1% 0% 1

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 INRIA BORDEAUX SUD OUEST TEAM CQFD 280785 1% 67% 2
2 CNRSIMBUMR 5113UMR 5251 210590 1% 100% 1
3 GRETHAUMR 5113UMR 5251 210590 1% 100% 1
4 INRIA BORDEAUX SUD QUEST TEAM CQFD 210590 1% 100% 1
5 UMR 5113IMBUMR 5251 210590 1% 100% 1
6 GRETHA CNRS UMR 5113 105294 1% 50% 1
7 IMB CNRS UMR 5251 105294 1% 50% 1
8 RSS STAT EDUC 105294 1% 50% 1
9 TEACHING MATH 105294 1% 50% 1
10 TEAM CQFD 40109 1% 10% 2

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 STATISTICS & PROBABILITY LETTERS 21142 19% 0% 27
2 PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES 10912 4% 1% 6
3 JOURNAL OF INEQUALITIES AND APPLICATIONS 7709 8% 0% 11
4 ESAIM-PROBABILITY AND STATISTICS 3611 1% 1% 2
5 AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS 3116 2% 0% 3
6 JOURNAL OF TIME SERIES ANALYSIS 2559 2% 0% 3
7 ANNALS OF PROBABILITY 2356 4% 0% 6
8 PAKISTAN JOURNAL OF STATISTICS 2016 1% 0% 2
9 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 1546 3% 0% 5
10 JOURNAL OF MULTIVARIATE ANALYSIS 1469 3% 0% 5

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 SHANNON MCMILLAN THEOREM 1960103 8% 85% 11 Search SHANNON+MCMILLAN+THEOREM Search SHANNON+MCMILLAN+THEOREM
2 STRONG DEVIATION THEOREM 1705776 6% 90% 9 Search STRONG+DEVIATION+THEOREM Search STRONG+DEVIATION+THEOREM
3 BIFURCATING AUTOREGRESSIVE PROCESS 1474129 5% 100% 7 Search BIFURCATING+AUTOREGRESSIVE+PROCESS Search BIFURCATING+AUTOREGRESSIVE+PROCESS
4 STRONG LIMIT THEOREM 1421477 6% 75% 9 Search STRONG+LIMIT+THEOREM Search STRONG+LIMIT+THEOREM
5 BIFURCATING AUTOREGRESSIVE MODEL 1052950 3% 100% 5 Search BIFURCATING+AUTOREGRESSIVE+MODEL Search BIFURCATING+AUTOREGRESSIVE+MODEL
6 BIFURCATING MARKOV CHAINS 1052950 3% 100% 5 Search BIFURCATING+MARKOV+CHAINS Search BIFURCATING+MARKOV+CHAINS
7 SMALL DEVIATION THEOREM 877456 3% 83% 5 Search SMALL+DEVIATION+THEOREM Search SMALL+DEVIATION+THEOREM
8 M ROOTED CAYLEY TREE 842360 3% 100% 4 Search M+ROOTED+CAYLEY+TREE Search M+ROOTED+CAYLEY+TREE
9 RELATIVE ENTROPY DENSITY 842360 3% 100% 4 Search RELATIVE+ENTROPY+DENSITY Search RELATIVE+ENTROPY+DENSITY
10 BIFURCATING AUTOREGRESSION 631770 2% 100% 3 Search BIFURCATING+AUTOREGRESSION Search BIFURCATING+AUTOREGRESSION

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 SHI, ZY , (2013) SOME STRONG DEVIATION THEOREMS FOR STOCHASTIC PROCESS INDEXED BY A TREE.PAKISTAN JOURNAL OF STATISTICS. VOL. 29. ISSUE 3. P. 323-337 16 100% 0
2 SHI, ZY , YANG, WG , (2016) THE STRONG LAW OF LARGE NUMBERS AND THE SHANNON-MCMILLAN THEOREM FOR THE MTH-ORDER NONHOMOGENEOUS MARKOV CHAINS INDEXED BY AN M ROOTED CAYLEY TREE.COMMUNICATIONS IN STATISTICS-THEORY AND METHODS. VOL. 45. ISSUE 7. P. 2045 -2055 14 100% 0
3 HUANG, HL , YANG, WG , SHI, ZY , (2017) ASYMPTOTIC EQUIPARTITION PROPERTY FOR SECOND-ORDER CIRCULAR MARKOV CHAINS INDEXED BY A TWO-ROOTED CAYLEY TREE.COMMUNICATIONS IN STATISTICS-THEORY AND METHODS. VOL. 46. ISSUE 3. P. 1275 -1289 13 100% 0
4 TERPSTRA, JT , ELBAYOUMI, T , (2012) A LAW OF LARGE NUMBERS RESULT FOR A BIFURCATING PROCESS WITH AN INFINITE MOVING AVERAGE REPRESENTATION.STATISTICS & PROBABILITY LETTERS. VOL. 82. ISSUE 1. P. 123-129 14 100% 1
5 SHI, ZY , YANG, WG , (2017) STRONG LAWS OF LARGE NUMBERS FOR THE MTH-ORDER ASYMPTOTIC ODD-EVEN MARKOV CHAINS INDEXED BY AN M-ROOTED CAYLEY TREE.COMMUNICATIONS IN STATISTICS-THEORY AND METHODS. VOL. 46. ISSUE 4. P. 1855 -1870 12 100% 0
6 PENG, WC , LIU, J , HOU, YC , CHEN, PS , BU, JP , (2016) SOME STRONG LIMIT THEOREMS FOR NONHOMOGENEOUS MARKOV CHAINS INDEXED BY CONTROLLED TREES.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 12 100% 0
7 DE SAPORTA, B , GEGOUT-PETIT, A , MARSALLE, L , (2014) RANDOM COEFFICIENTS BIFURCATING AUTOREGRESSIVE PROCESSES.ESAIM-PROBABILITY AND STATISTICS. VOL. 18. ISSUE . P. 365 -399 15 75% 2
8 BERCU, B , BLANDIN, V , (2015) A RADEMACHER-MENCHOV APPROACH FOR RANDOM COEFFICIENT BIFURCATING AUTOREGRESSIVE PROCESSES.STOCHASTIC PROCESSES AND THEIR APPLICATIONS. VOL. 125. ISSUE 4. P. 1218 -1243 15 68% 1
9 SHI, ZY , YANG, WG , TIAN, LX , PENG, WC , (2012) A CLASS OF SMALL DEVIATION THEOREMS FOR THE RANDOM FIELDS ON AN M ROOTED CAYLEY TREE.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 11 100% 0
10 SHI, ZY , YANG, WG , WANG, B , (2016) A CLASS OF SMALL DEVIATION THEOREMS FOR THE RANDOM VARIABLES ASSOCIATED WITH MTH-ORDER ASYMPTOTIC CIRCULAR MARKOV CHAINS.COMMUNICATIONS IN STATISTICS-THEORY AND METHODS. VOL. 45. ISSUE 23. P. 7027 -7039 10 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 21954 GROWTH FRAGMENTATION EQUATIONS//STEADY SIZE DISTRIBUTIONS//CELL DIVISION EQUATION
2 9016 UNIVERSAL CODING//IEEE TRANSACTIONS ON INFORMATION THEORY//UNIVERSAL SOURCE CODING
3 19003 BRANCHING PROCESS//BISEXUAL GALTON WATSON BRANCHING PROCESS//CONTROLLED BRANCHING PROCESSES
4 17480 LARGE DEVIATIONS//MODERATE DEVIATIONS//LOCAL LARGE DEVIATION PRINCIPLE
5 7281 BRANCHING RANDOM WALK//CONTINUUM RANDOM TREE//BROWNIAN EXCURSION
6 14470 TIME SERIES OF COUNTS//BINOMIAL THINNING//INTEGER VALUED TIME SERIES
7 28669 FINITARY ISOMORPHISM//SHIFT COUPLING//PALM MEASURE
8 31043 EXCHANGEABLE RANDOM VARIABLE//KOLMOGOROV FELLER WEAK LAW OF LARGE NUMBERS//BERRY ESSEEN TYPE ESTIMATE
9 12689 ERGODIC THEORY AND DYNAMICAL SYSTEMS//JOININGS//C F CONSTRUCTION
10 24470 QUANTITAT SCI BIOMED//CFSE//LABEL STRUCTURED POPULATION DYNAMICS

Go to start page